Factor completely each polynomial, and indicate any that are not

Dowqueuestbew1j

Dowqueuestbew1j

Answered question

2021-12-10

Factor completely each polynomial, and indicate any that are not factorable using integers. 1000x3+27y3

Answer & Explanation

Terry Ray

Terry Ray

Beginner2021-12-11Added 50 answers

Step 1
Given:
Let p=1000x3+27y3
To Find: To factorise the given polynomial
Step 2
Solution:
p=1000x3+27y3
=(10x)3+(3y)3
We know that a3+b3=(a+b)(a2ab+b2)
p=(10x+3y)[(10x)2((10x)×3y)+(3y)2]
=(10x+3y)(100x230xy+9y2)
Hence 1000x3+27y3=(10x+3y)(100x230xy+9y2)

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